Information on Result #698720
Linear OA(6451, 4098, F64, 26) (dual of [4098, 4047, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6449, 4096, F64, 25) (dual of [4096, 4047, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8102, 8196, F8, 26) (dual of [8196, 8094, 27]-code) | [i] | Trace Code | |
| 2 | OA(3262, 4098, S32, 26) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6464, 4163, F64, 26) (dual of [4163, 4099, 27]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6465, 4178, F64, 26) (dual of [4178, 4113, 27]-code) | [i] | ||
| 5 | Linear OA(6466, 4180, F64, 26) (dual of [4180, 4114, 27]-code) | [i] | ||
| 6 | Linear OA(6467, 4202, F64, 26) (dual of [4202, 4135, 27]-code) | [i] | ||
| 7 | Linear OA(6468, 4204, F64, 26) (dual of [4204, 4136, 27]-code) | [i] | ||
| 8 | Linear OA(6469, 4226, F64, 26) (dual of [4226, 4157, 27]-code) | [i] | ||
| 9 | Linear OA(6470, 4228, F64, 26) (dual of [4228, 4158, 27]-code) | [i] | ||
| 10 | Linear OA(6471, 4275, F64, 26) (dual of [4275, 4204, 27]-code) | [i] | ||
| 11 | Linear OA(6472, 4293, F64, 26) (dual of [4293, 4221, 27]-code) | [i] | ||
| 12 | Linear OA(6473, 4297, F64, 26) (dual of [4297, 4224, 27]-code) | [i] | ||
| 13 | Linear OA(6474, 4417, F64, 26) (dual of [4417, 4343, 27]-code) | [i] | ||
| 14 | Linear OA(6458, 4138, F64, 26) (dual of [4138, 4080, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 15 | Linear OA(6459, 4188, F64, 26) (dual of [4188, 4129, 27]-code) | [i] | ||
| 16 | Linear OA(6460, 4302, F64, 26) (dual of [4302, 4242, 27]-code) | [i] | ||
| 17 | Linear OA(6461, 4546, F64, 26) (dual of [4546, 4485, 27]-code) | [i] | ||
| 18 | Linear OA(6462, 5020, F64, 26) (dual of [5020, 4958, 27]-code) | [i] | ||
| 19 | Linear OOA(6451, 2049, F64, 2, 26) (dual of [(2049, 2), 4047, 27]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(6451, 1366, F64, 3, 26) (dual of [(1366, 3), 4047, 27]-NRT-code) | [i] | ||